# Worksheet: Equation of a Straight Line: Vector Form

In this worksheet, we will practice finding the equation of a straight line in vector form.

Q1:

Which of the following can be the vector form of the equation of the straight line , where and ?

• A
• B
• C
• D
• E

Q2:

Which of the following can be the vector form of the equation of the straight line , where and ?

• A
• B
• C
• D
• E

Q3:

Find the vector equation of the straight line passing through the origin and the point .

• A
• B
• C
• D

Q4:

Find the vector equation of the straight line passing through the points and .

• A
• B
• C
• D

Q5:

Find the vector equation of the straight line whose slope is and passes through the point .

• A
• B
• C
• D

Q6:

Consider the line through the point and perpendicular to vector . Which of the following is a vector equation of this line?

• A
• B
• C
• D
• E

Q7:

Write the vector equation of the straight line that passes through the point with direction vector .

• A
• B
• C
• D

Q8:

Find the vector equation of the straight line that is parallel to the -axis and passing through the point .

• A
• B
• C
• D

Q9:

Consider the line through the point and perpendicular to vector . Which of the following is a vector equation of this line?

• A
• B
• C
• D
• E

Q10:

Given that and are the direction vectors of two perpendicular straight lines, determine the value of .

• A72
• B
• C
• D

Q11:

Suppose that a line has direction vector . What, to the nearest second, is the measure of the positive angle that this line makes with the positive -axis?

• A
• B
• C
• D

Q12:

If the straight line that passes through the two points and is perpendicular to the one that makes an angle of with the positive direction of the -axis, find the value of to the nearest integer.

• A
• B
• C3
• D

Q13:

Which of the following is a direction vector of the straight line ?

• A
• B
• C
• D
• E

Q14:

Which of the following is a directional vector for a line perpendicular to the -axis?

• A
• B